201444152140240 has 160 divisors (see below), whose sum is σ = 485190998645760. Its totient is φ = 77743745587200.

The previous prime is 201444152140211. The next prime is 201444152140271. The reversal of 201444152140240 is 42041251444102.

201444152140240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201444152140196 and 201444152140205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66780921 + ... + 69732199.

It is an arithmetic number, because the mean of its divisors is an integer number (3032443741536).

Almost surely, 2^{201444152140240} is an apocalyptic number.

201444152140240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201444152140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242595499322880).

201444152140240 is an abundant number, since it is smaller than the sum of its proper divisors (283746846505520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201444152140240 is a wasteful number, since it uses less digits than its factorization.

201444152140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951621 (or 2951615 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 34.

The spelling of 201444152140240 in words is "two hundred one trillion, four hundred forty-four billion, one hundred fifty-two million, one hundred forty thousand, two hundred forty".